Round your answer to the NEAREST tenth.


3. CCSS MODELING Annabelle and Rich are setting up


decorations for their school dance. Rich is standing


5 feet directly in front of Annabelle under a disco ball.


If the angle of elevation from Annabelle to the ball


is 40° and Rich to the ball is 50°, how high is the


disco ball?

Answer:

4x-12

Step-by-step explanation:

do -1(2x+5)  -> -2x-5

combine like terms

6x - 7 - 2x - 5  -> 4x -12

Answer:

4(x-3)

Step-by-step explanation:

6x - 7 - 1(2x + 5)

6x - 7 - 2x - 5

6x - 7 - 2x - 5

6x - 12 - 2x

6x - 12 - 2x

4x - 12

4 (x - 3)

ANSWER

4(x- 3)

The system of inequalities that shows the possible number of tables that the senior class can rent is x + y ≥ 65 and 12x + 9y ≤ 2000

An equation is an expression that shows the relationship between variables and numbers.

Inequalities are used to show the nonequal comparison of numbers and variables.

Let x represent the number of round tables and y represent the number of square tables.

Each round table weighs 12 pounds, and each square table weighs 9 pounds. They need a minimum of 65 tables altogether, hence:

x + y ≥ 65      (1)

Also, The maximum weight that a delivery truck can carry is 2000 pounds, hence:

12x + 9y ≤ 2000     (2)

The system of inequalities is x + y ≥ 65 and 12x + 9y ≤ 2000

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

No Solution

Step-by-step explanation:

4(x+3)=3x+2+x

4x+12=3x+2+x

4x+12=4x+2

0=-10

The equation has no solutions.

Hope this helped! :)

The values of x are [tex]\frac{\sqrt{31} + 2 }{3} , \frac{-\sqrt{31} + 2 }{3}[/tex] and y are [tex]\frac{19\sqrt{31} + 146 }{9} , \frac{-19\sqrt{31} + 146 }{9}[/tex].

Given Equations,

4x² + x - y = 0 ...(1)

-x² - 5x + y - 9 = 0

The above equation can be written as:

-x² - 5x + y = 9 ...(2)

Using the elimination method, the second term of both equations can be eliminated by adding the equations.

Therefore,

4x² +  x  - y = 0

-x² - 5x + y = 9

_____________

3x² - 4x = 9

Using the Completing the square method,

3x² - 4x = 9

Divide the equation by 3 on both sides,

[tex]x^{2} - \frac{4}{3}x = 3[/tex]

[tex]x^{2} - \frac{4}{3}x + (\frac{2}{3}) ^{2} = 3 + (\frac{2}{3}) ^{2[/tex]

[tex]( x - \frac{2}{3})^{2} = 3 + \frac{4}{9}[/tex]

[tex]( x - \frac{2}{3})^{2} = \frac{31}{9}[/tex]

[tex]( x - \frac{2}{3}) = \sqrt{\frac{31}{9}}[/tex]

[tex]x = \frac{\sqrt{31} }{3} + \frac{2}{3} , - \frac{\sqrt{31} }{3} + \frac{2}{3}[/tex]

[tex]x = \frac{\sqrt{31} + 2 }{3} , \frac{-\sqrt{31} + 2 }{3}[/tex]

Now, Put the value of x  in equation (1), we get the value of y.

4x² + x - y = 0

y = 4x² + x

[tex]y = 4( \frac{\sqrt{31} + 2 }{3})^{2} + \frac{\sqrt{31} + 2 }{3} , 4( \frac{-\sqrt{31} + 2 }{3})^{2} + \frac{-\sqrt{31} + 2 }{3}[/tex]

[tex]y = \frac{19\sqrt{31} + 146 }{9} , \frac{-19\sqrt{31} + 146 }{9}[/tex]

Therefore,

the values of x are [tex]\frac{\sqrt{31} + 2 }{3} , \frac{-\sqrt{31} + 2 }{3}[/tex] and y are [tex]\frac{19\sqrt{31} + 146 }{9} , \frac{-19\sqrt{31} + 146 }{9}[/tex].

To learn more about Elimination,

brainly.com/question/22440227

The weight of the ice changes at the rate of 1.25 lbs. in a half of an hour.

How quickly something evolves over time is referred to as its rate of change (ROC).

Given:

As a block of ice melts,

its weight changes from 1.5 lbs to .25lbs.

That means, the total decay,

1.5 + n = 0.25

n = 1.25 lbs.

This change takes a half of an hour.

So, the rate of change,

1.25 lbs. in a half of an hour.

Therefore, the rate of change is 1.25 lbs. in a half of an hour.

To learn more about the rate of change;

https://brainly.com/question/29518179

#SPJ1

If we want to be able to represent every hexadecimal value from 016 to ff16, the number of bits we need would be 8 bits.

The term hexadecimal refers to a numbering system in base 16. It can be used to represent large numbers with fewer digits. Most number systems are in decimal or base ten, however, hexadecimal is a type of number system which is in base 16. Hexadecimal has the base ten numbers from 0 to 9 and followed by six alphabetic characters A, B, C, D, E, and F. To represent every hexadecimal value from 016 to ff16, 8 bits will be needed.

Learn more about hexadecimal at: https://brainly.com/question/13041189

#SPJ4

Yes, number 2 and number 3 represents they are prime number as the number has only two factors one and the number itself.

As given in the question,

Given numbers are equal to :

2 and 3.

Prime numbers are those number which has only two factors one and the number itself.

Prime number does not get exactly divided by any other number except itself and one.

Factors of 2 are as follow :

1 and 2

Factors of 3 are as follow :

1 and 3

Therefore, number 2 and number 3 are considered a prime numbers as both the numbers has only two factors one and the number itself.

Learn more about prime number here

brainly.com/question/4184435

#SPJ4

Answer:

There are three general classes of substitution reactions, depending on the following factors.

Reactant or substituent.

Intermediate – carbocation, carbanion, or free radical.

Substrate (compound) – aliphatic or aromatic.

Step-by-step explanation:

Hope it helps!

For polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) after dilation the vertices will be

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem, for r = 1/4 we have

preimage                                     image

A (-4, 6)   → (1/4 * -4, 1/4 * 6) →   A' (-1, 3/2)

B (−2, 2)   → (1/4 * -2, 1/4 * 2) →  B' (-1/2, 1/2)

C (4, −2)  → (1/4 * 4, 1/4 * -2) →   C' (1, -1/2)

D (4, 4)   → (1/4 * 4, 1/4 * 4)   →  D' (1, 1)

Learn more about transformation here:

https://brainly.com/question/29601182

#SPJ1

Answer:

Third Answer Choice....A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)

Step-by-step explanation:

1/4 = 0.25

Multiply by every number

A' = ( -1, 1.5 )
B' = ( -0.5, 0.5 )
C' = ( 1, -0.5)
D' = (1, 1)

If it says its wrong i dont even know whys that, because this is the only way i know that everyone can solve easily

Answer: 16

Step-by-step explanation:

2 x 2 = 4        2 x 4 = 8           2 x 8 = 16

Answer:

2*2*2*2 in exponential form is 2^4

Step-by-step explanation:

2*2*2*2= 16

2^4=16

Hope this helps :D

Social inequality in class 9 refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. It can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.

In class 9, social inequality may be discussed in relation to various social issues, such as racial and ethnic inequality, gender inequality, and inequality based on sexual orientation, disability, and age. These issues can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.

Social inequality in class 9 may also be discussed in relation to broader societal issues, such as poverty, unemployment, and lack of access to healthcare and education. These issues can contribute to a cycle of disadvantage and can perpetuate social inequality.

It's worth noting that social inequality is often interconnected with other forms of inequality such as economic and educational inequality, and understanding how these inequalities interact is crucial to understand and address social inequality.

To know more on inequality

https://brainly.com/question/30167624

#SPJ4

Answer:20

Step-by-step explanation:

80 times .25 or 1/4 is 20

Answer:20

Step-by-step explanation:

So, 25% is 1/4 of 100, so if you divide 80 by 4 you get 20, which is 25% of 80.

Another way to do this is on a calculator, do 80 x 25 / 100, this works with finding the percentage of anything!

Answer:

You have to add them all you will get 2,455 then you divide by how many numbers are there so there's 7 numbers so 2,455 divided by 7 equals=350 is the answer rounded to the nearest tenth

Manuel was incorrect, because the perimeter of a flower bed is 51 1/4 feet not 25 5/8 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, Manuel says  feet of fencing is enough for a rectangular flower bed that measures  feet by  feet

Here, perimeter =2(9 7/8 + 15 3/4 ) feet

= 2(79/8 + 63/4)

= 2(79/8 + 126/8)

= 2(205/8)

= 410/8

Manuel was incorrect, because the perimeter of a flower bed is 51 1/4 feet not  25 5/8feet.

To learn more about the perimeter visit:

brainly.com/question/15287805.

#SPJ4

The value of m from the exponent is 35.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex](x^m)[/tex]³ = [tex](x^{13) ^5[/tex] x [tex](x^{-8}) ^{-5}[/tex]

Now, solving the exponents

[tex](x^m)[/tex]³ = [tex](x^{65})[/tex] x [tex](x^{40}) }[/tex]

Now, using the property

[tex]x^m . x^n = x^{m+n}[/tex]

So, [tex](x^m)[/tex]³ = [tex](x^{65+ 40})[/tex]

[tex](x^{3m})[/tex] = [tex](x^{105})[/tex]

Now, comparing the base

3m = 105

m= 105/3

m= 35

Hence, the value of m is 35.

Learn more about exponents and power here:

https://brainly.com/question/15722035

#SPJ1

Answer:

c=71

Step-by-step explanation:

852=12c

852=12x71

Answer:

[tex] \sf \: c = 71[/tex]

Step-by-step explanation:

Given equation,

→ 852 = 12c

Now the value of c will be,

→ 852 = 12c

→ 12c = 852

→ c = 852 ÷ 12

→ [ c = 71 ]

Hence, the value of c is 71.

Answer:

do 3*4 then divide by 12

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The given steps are :

[tex]\qquad \sf  \dashrightarrow \: 144 {x}^{2} - 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2(6x + 5)(6x - 5)[/tex]

The error is in third step ~

Correct method :

[tex]\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)[/tex]

[ take 2 common out of both ]

[tex]\qquad \sf  \dashrightarrow \:2 (6x + 5) \sdot2(6x - 5)[/tex]

[ 2 times 2 will be 4 ]

[tex]\qquad \sf  \dashrightarrow \: 4(6x +5 )(6x - 5)[/tex]

The product of (−21)(19)(−5) is 1995.

What is product?

In mathematics, the product is the result of multiplying two or more numbers or expressions together. The product is an important concept in mathematics and is used in many areas, including arithmetic, algebra, calculus, and geometry.

The problem asks us to find the product of (−21)(19)(−5). To solve this problem, we can multiply the three numbers together in any order because multiplication is associative.

So, let's multiply the numbers from left to right:

(−21)(19)(−5) = (−399)(−5)

We then simplify this expression by multiplying -399 and -5 together:

(−399)(−5) = 1995

Therefore, the product of (−21)(19)(−5) is -1995.

To learn more about product visit:

https://brainly.com/question/30284183

#SPJ1

The coordinate of a point is its location on a grid. The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

Coordinate points:

A set of values that show an exact position on graphs is usually a pair of numbers. The first number shows the distance along, and the second number shows the distance up or down.

One number line is horizontal and is called the x-axis, and the other number line is the vertical number line and is called the y-axis. The two axes meet at a point called the origin.

The coordinate is given as:

[tex]Point=(2\frac{1}{2} ,-4)[/tex]

Express as decimals

Point=(-2.5,-4)

The above point means that:

X=-2.5

y=-4

Therefore, The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

To know more about Coordinate points:

https://brainly.com/question/8575977

#SPJ4

An image is a representation of something that can be seen, such as a picture or drawing.

An image can be thought of as a 2-dimensional array of pixels, where each pixel has a specific color value. Each color value can be represented by numerical values, such as red, green, and blue (RGB) values.

In mathematics, we can think of an image as a function that maps the x and y coordinates of a pixel to its color value. For example, f(x,y) = (R, G, B) where R, G, B are the red, green, and blue values of that pixel.

We can also think of an image as a grid of points, where each point represents a pixel.

It can be a photograph, drawing, graphic, or any other visual representation of something. Images can be created using different techniques, such as painting, drawing, or photography.

They can also be digital, such as a computer-generated image or a photograph that has been scanned into a computer. Images are used in many different fields, such as art, science, advertising, and education.

Images can be found in various forms such as on billboards, posters, books, magazines, newspapers, websites, and social media platforms. They can also be used to communicate information, tell a story, or express an idea.

To know more about digital images:

https://brainly.com/question/7519393

#SPJ4

A statement which correctly describes the graph shown below is: A. The object moves away from the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves toward the origin at a speed of 2 m/s.

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, the speed of the object from the origin can be calculated as follows:

Speed = distance/time

Speed = 6/2

Speed = 3 m/s.

Read more on position vs time graph here: brainly.com/question/25645133

#SPJ1

So on solving the provided question we cans ay that the coefficient of y² in the expression 2x²y -10xy²+ 5y is 10

A coefficient in mathematics is a polynomial, a series, or the multiplicative coefficient of a particular term in an expression. Typically numeric, however any expression is permitted. The term "parameter" can also refer to the coefficients themselves if they are variables. A number times a variable equals a coefficient. Coefficient examples include:  The coefficient is 14 in phrase 14c 14c 14c. The coefficient is 1 for word g. multiplies the variable by this amount. example  Given that "z" is a variable and that 6z is the definition of the term, the coefficient is 6. One is the coefficient of the square of x.

Here,

the coefficient of y² in the expression 2x²y -10xy²+ 5y is 10

To know more about coefficient visit:

brainly.com/question/28975079

#SPJ4

Answer:

1-Pythagorean Theorem

2-Area

3-Perimeter

4-Pythagorean Triple

5-Hypotenuse

6-Pythagorean Theorem Converse

7-Pythagorean Theorem

8-Legs

The Pythagorean Theorem is a mathematical formula used to find the length of the missing side of a right triangle. It states that the sum of the squares of the lengths of the two shorter sides (known as the legs) of the triangle is equal to the square of the length of the longest side (the hypotenuse).

The area of a space refers to the amount of two-dimensional space that it occupies. For example, the area of a rectangle can be found by multiplying its length by its width.

The perimeter is the distance around the outside of a shape, often used in polygons and closed figures.

A Pythagorean triple is a set of three integers a, b, and c that satisfy the equation a^2 + b^2 = c^2. These integers correspond to the three sides of a right triangle, with c being the hypotenuse.

The hypotenuse is the side of a right triangle that is opposite from the right angle and is also the longest side of a right triangle.

The Pythagorean Theorem Converse states that if the sum of the squares of the two shorter sides of a triangle is equal to the square of the length of the longest side, then the triangle is a right triangle.

The Pythagorean Theorem can be used to find the diagonal distance on a coordinate plane. Given the coordinates of two points, the theorem can be used to calculate the distance between them by making the diagonal distance the hypotenuse.

The legs of a right triangle are the two sides of the triangle that are adjacent (next to) to the right angle.

Uday Tahlan

Answer:

f

Step-by-step explanation:

Answer:

[tex]f\left(x\right)=\begin{cases}-9x&x\: < \:0\\ \:\:\:9x&x > \:0\end{cases}[/tex]

Step-by-step explanation:

The first thing to note is that absolute value functions are piecewise functions.

A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain or inputs(in this case the x-values).

In this case, the absolute value function is
[tex]f(x) = 9|x|[/tex]

To write this function as a piecewise function you have to use the definition of  [tex]f(x) = |x|[/tex] :

[tex]f\left(x\right)=\begin{cases}-x&x\: < \:0\\ \:\:\:x&x > \:0\end{cases}[/tex]

Applying this to [tex]9|x|[/tex] we multiply each of the parts by 9 to get

[tex]f\left(x\right)=\begin{cases}-9x&x\: < \:0\\ \:\:\:9x&x > \:0\end{cases}[/tex]

At [tex]|x| = 0, f(x) = 9|x| = 0\\[/tex]

The graph of the function is attached for easier understanding

The range of pixel values in digital images is typically 0-255 because it corresponds to the number of bits used to represent each pixel. Most image file formats use 8 bits per color channel (red, green, and blue) to represent each pixel, and 8 bits can store a maximum of [tex]2^8[/tex] = 256 different values, with one of the values being reserved for transparency.

When working with 8-bit images, each color channel can take on one of 256 different values, from 0 to 255. This is known as an 8-bit color depth. Each pixel in the image is represented by a combination of red, green, and blue values, so the total number of possible colors is 256 x 256 x 256 = 16,777,216.

The use of 8-bit color depth allows for a wide range of colors to be represented in an image, while also being small enough to be easily stored and transmitted.

Also, it's worth mentioning that with the development of technology, the use of high-bit color-depth images has become more common in the field of photography, digital art, and video, where 16-bit and 32-bit color depths are frequently used.

Read more about Pixels:

brainly.com/question/9017156

#SPJ4

Answer:

Let x be the amount of currency deposited

The checks deposited were 2x

The total deposit is x+2x = 3*x = 793

x = 793/3 = $264

So, Alicia deposited $264 in currency.

Answer:

D. 28 units

Step-by-step explanation:

Add up all the units on each side

Going clockwise starting from the top:

5, 5, 1, 2, 3, 1, 3, 8

Add them all together

5 + 5 + 1 + 2 + 3 + 1 + 3 + 8 = 28